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Finding the Fourth Proportional to 3,284.10, 4,532.13 and 1,792.08

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Solution

The fourth proportional to 3,284.10, 4,532.13 and 1,792.08 is: 2,473.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,284.10 : 4,532.13 = 1,792.08 : x
  2. Step 2: Convert to fraction form
    3,284.10/4,532.13 = 1,792.08/x
  3. Step 3: Cross multiply
    3,284.10x = 4,532.13 × 1,792.08
  4. Step 4: Simplify right side
    3,284.10x = 8,121,939.53
  5. Step 5: Solve for x
    x = 8,121,939.53/3,284.10
  6. Step 6: Final answer
    x = 2,473.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.